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Finding the Fourth Proportional to 273.88, 378.17 and 204.73

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Solution

The fourth proportional to 273.88, 378.17 and 204.73 is: 282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.88 : 378.17 = 204.73 : x
  2. Step 2: Convert to fraction form
    273.88/378.17 = 204.73/x
  3. Step 3: Cross multiply
    273.88x = 378.17 × 204.73
  4. Step 4: Simplify right side
    273.88x = 77,421.54
  5. Step 5: Solve for x
    x = 77,421.54/273.88
  6. Step 6: Final answer
    x = 282.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.